A biologist has 600 kg of nutrient A, 800 kg of nutrient B and 300 kg of nutrien

Question

A biologist has 600 kg of nutrient A, 800 kg of nutrient B and 300 kg of nutrient C. These nutrients will be used to A0 make 4 types of food, whose contents (in percent per kilogram of food) and whose growth values' are shown on C 10080 20 the right. Set up the initial simplox tableau that would bo Growth used to determine how many kilograms of each food should be produced in order to maximize total growh B 0 20 12.5 12.5 100 90 70 G0 Value Let xj be the number of kilograms of food type P. Let x2 be the nurmber of kilograms of Q Let x3 be the number of kilograms of R, and let X4 be the number of kiloy ams of s What is the objective function? Set up the initial simplex tableau for the problem. X1 X2 4 1 82 83 0 02 0125 0.125 1 1 08 0.25 0 0 ?-70-60 0 0 ?.? Tvne an intener or decimal for each matrix element y Enter your answer in each of the answer boxes

Explanation / Answer

Objective function is : z = 100x1+90x2+70x3+60x4

x1 x2 x3 x4 s1 s2 s3 0 0 62.5 87.5 1 0 0 600 0 0.2 0.125 0.125 0 1 0 8 1 0.8 0.25 0 0 0 1 3 -100 -90 -70 -60 0 0 0 0

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